--------------------------------------------------------------------------
--                                                                      --
-- Copyright (c) 1990,1991,1992 by Synopsys, Inc.  All rights reserved. --
--                                                                      --
-- This source file may be used and distributed without restriction     --
-- provided that this copyright statement is not removed from the file  --
-- and that any derivative work contains this copyright notice.         --
--                                                                      --
--	Package name: STD_LOGIC_ARITH					--
--									--
--	Purpose: 							--
--	 A set of arithemtic, conversion, and comparison functions 	--
--	 for SIGNED, UNSIGNED, SMALL_INT, INTEGER, 			--
--	 STD_ULOGIC, STD_LOGIC, and STD_LOGIC_VECTOR.			--
--									--
--------------------------------------------------------------------------

library IEEE;
use IEEE.std_logic_1164.all;

package std_logic_arith is

    type UNSIGNED is array (NATURAL range <>) of STD_LOGIC;
    type SIGNED is array (NATURAL range <>) of STD_LOGIC;
    subtype SMALL_INT is INTEGER range 0 to 1;

    function "+"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED;
    function "+"(L: SIGNED; R: SIGNED) return SIGNED;
    function "+"(L: UNSIGNED; R: SIGNED) return SIGNED;
    function "+"(L: SIGNED; R: UNSIGNED) return SIGNED;
    function "+"(L: UNSIGNED; R: INTEGER) return UNSIGNED;
    function "+"(L: INTEGER; R: UNSIGNED) return UNSIGNED;
    function "+"(L: SIGNED; R: INTEGER) return SIGNED;
    function "+"(L: INTEGER; R: SIGNED) return SIGNED;
    function "+"(L: UNSIGNED; R: STD_ULOGIC) return UNSIGNED;
    function "+"(L: STD_ULOGIC; R: UNSIGNED) return UNSIGNED;
    function "+"(L: SIGNED; R: STD_ULOGIC) return SIGNED;
    function "+"(L: STD_ULOGIC; R: SIGNED) return SIGNED;

    function "+"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: UNSIGNED; R: INTEGER) return STD_LOGIC_VECTOR;
    function "+"(L: INTEGER; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: SIGNED; R: INTEGER) return STD_LOGIC_VECTOR;
    function "+"(L: INTEGER; R: SIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: UNSIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR;
    function "+"(L: STD_ULOGIC; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: SIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR;
    function "+"(L: STD_ULOGIC; R: SIGNED) return STD_LOGIC_VECTOR;

    function "-"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED;
    function "-"(L: SIGNED; R: SIGNED) return SIGNED;
    function "-"(L: UNSIGNED; R: SIGNED) return SIGNED;
    function "-"(L: SIGNED; R: UNSIGNED) return SIGNED;
    function "-"(L: UNSIGNED; R: INTEGER) return UNSIGNED;
    function "-"(L: INTEGER; R: UNSIGNED) return UNSIGNED;
    function "-"(L: SIGNED; R: INTEGER) return SIGNED;
    function "-"(L: INTEGER; R: SIGNED) return SIGNED;
    function "-"(L: UNSIGNED; R: STD_ULOGIC) return UNSIGNED;
    function "-"(L: STD_ULOGIC; R: UNSIGNED) return UNSIGNED;
    function "-"(L: SIGNED; R: STD_ULOGIC) return SIGNED;
    function "-"(L: STD_ULOGIC; R: SIGNED) return SIGNED;

    function "-"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: UNSIGNED; R: INTEGER) return STD_LOGIC_VECTOR;
    function "-"(L: INTEGER; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: SIGNED; R: INTEGER) return STD_LOGIC_VECTOR;
    function "-"(L: INTEGER; R: SIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: UNSIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR;
    function "-"(L: STD_ULOGIC; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: SIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR;
    function "-"(L: STD_ULOGIC; R: SIGNED) return STD_LOGIC_VECTOR;

    function "+"(L: UNSIGNED) return UNSIGNED;
    function "+"(L: SIGNED) return SIGNED;
    function "-"(L: SIGNED) return SIGNED;
    function "ABS"(L: SIGNED) return SIGNED;

    function "+"(L: UNSIGNED) return STD_LOGIC_VECTOR;
    function "+"(L: SIGNED) return STD_LOGIC_VECTOR;
    function "-"(L: SIGNED) return STD_LOGIC_VECTOR;
    function "ABS"(L: SIGNED) return STD_LOGIC_VECTOR;

    function "*"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED;
    function "*"(L: SIGNED; R: SIGNED) return SIGNED;
    function "*"(L: SIGNED; R: UNSIGNED) return SIGNED;
    function "*"(L: UNSIGNED; R: SIGNED) return SIGNED;

    function "*"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "*"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR;
    function "*"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR;
    function "*"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR;

    function "<"(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function "<"(L: SIGNED; R: SIGNED) return BOOLEAN;
    function "<"(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function "<"(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function "<"(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function "<"(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function "<"(L: SIGNED; R: INTEGER) return BOOLEAN;
    function "<"(L: INTEGER; R: SIGNED) return BOOLEAN;

    function "<="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function "<="(L: SIGNED; R: SIGNED) return BOOLEAN;
    function "<="(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function "<="(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function "<="(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function "<="(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function "<="(L: SIGNED; R: INTEGER) return BOOLEAN;
    function "<="(L: INTEGER; R: SIGNED) return BOOLEAN;

    function ">"(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function ">"(L: SIGNED; R: SIGNED) return BOOLEAN;
    function ">"(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function ">"(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function ">"(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function ">"(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function ">"(L: SIGNED; R: INTEGER) return BOOLEAN;
    function ">"(L: INTEGER; R: SIGNED) return BOOLEAN;

    function ">="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function ">="(L: SIGNED; R: SIGNED) return BOOLEAN;
    function ">="(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function ">="(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function ">="(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function ">="(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function ">="(L: SIGNED; R: INTEGER) return BOOLEAN;
    function ">="(L: INTEGER; R: SIGNED) return BOOLEAN;

    function "="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function "="(L: SIGNED; R: SIGNED) return BOOLEAN;
    function "="(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function "="(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function "="(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function "="(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function "="(L: SIGNED; R: INTEGER) return BOOLEAN;
    function "="(L: INTEGER; R: SIGNED) return BOOLEAN;

    function "/="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN;
    function "/="(L: SIGNED; R: SIGNED) return BOOLEAN;
    function "/="(L: UNSIGNED; R: SIGNED) return BOOLEAN;
    function "/="(L: SIGNED; R: UNSIGNED) return BOOLEAN;
    function "/="(L: UNSIGNED; R: INTEGER) return BOOLEAN;
    function "/="(L: INTEGER; R: UNSIGNED) return BOOLEAN;
    function "/="(L: SIGNED; R: INTEGER) return BOOLEAN;
    function "/="(L: INTEGER; R: SIGNED) return BOOLEAN;

    function SHL(ARG: UNSIGNED; COUNT: UNSIGNED) return UNSIGNED;
    function SHL(ARG: SIGNED; COUNT: UNSIGNED) return SIGNED;
    function SHR(ARG: UNSIGNED; COUNT: UNSIGNED) return UNSIGNED;
    function SHR(ARG: SIGNED; COUNT: UNSIGNED) return SIGNED;

    function CONV_INTEGER(ARG: INTEGER) return INTEGER;
    function CONV_INTEGER(ARG: UNSIGNED) return INTEGER;
    function CONV_INTEGER(ARG: SIGNED) return INTEGER;
    function CONV_INTEGER(ARG: STD_ULOGIC) return SMALL_INT;

    function CONV_UNSIGNED(ARG: INTEGER; SIZE: INTEGER) return UNSIGNED;
    function CONV_UNSIGNED(ARG: UNSIGNED; SIZE: INTEGER) return UNSIGNED;
    function CONV_UNSIGNED(ARG: SIGNED; SIZE: INTEGER) return UNSIGNED;
    function CONV_UNSIGNED(ARG: STD_ULOGIC; SIZE: INTEGER) return UNSIGNED;

    function CONV_SIGNED(ARG: INTEGER; SIZE: INTEGER) return SIGNED;
    function CONV_SIGNED(ARG: UNSIGNED; SIZE: INTEGER) return SIGNED;
    function CONV_SIGNED(ARG: SIGNED; SIZE: INTEGER) return SIGNED;
    function CONV_SIGNED(ARG: STD_ULOGIC; SIZE: INTEGER) return SIGNED;

    function CONV_STD_LOGIC_VECTOR(ARG: INTEGER; SIZE: INTEGER)
						       return STD_LOGIC_VECTOR;
    function CONV_STD_LOGIC_VECTOR(ARG: UNSIGNED; SIZE: INTEGER)
						       return STD_LOGIC_VECTOR;
    function CONV_STD_LOGIC_VECTOR(ARG: SIGNED; SIZE: INTEGER)
						       return STD_LOGIC_VECTOR;
    function CONV_STD_LOGIC_VECTOR(ARG: STD_ULOGIC; SIZE: INTEGER)
						       return STD_LOGIC_VECTOR;
    -- zero extend STD_LOGIC_VECTOR (ARG) to SIZE,
    -- SIZE < 0 is same as SIZE = 0
    -- returns STD_LOGIC_VECTOR(SIZE-1 downto 0)
    function EXT(ARG: STD_LOGIC_VECTOR; SIZE: INTEGER) return STD_LOGIC_VECTOR;

    -- sign extend STD_LOGIC_VECTOR (ARG) to SIZE,
    -- SIZE < 0 is same as SIZE = 0
    -- return STD_LOGIC_VECTOR(SIZE-1 downto 0)
    function SXT(ARG: STD_LOGIC_VECTOR; SIZE: INTEGER) return STD_LOGIC_VECTOR;

end Std_logic_arith;



library IEEE;
use IEEE.std_logic_1164.all;

library nvc;

package body std_logic_arith is

    alias NO_WARNING is nvc.sim_pkg.ieee_no_warning;

    function max(L, R: INTEGER) return INTEGER is
    begin
	if L > R then
	    return L;
	else
	    return R;
	end if;
    end;


    function min(L, R: INTEGER) return INTEGER is
    begin
	if L < R then
	    return L;
	else
	    return R;
	end if;
    end;

    -- synopsys synthesis_off
    type tbl_type is array (STD_ULOGIC) of STD_ULOGIC;
    constant tbl_BINARY : tbl_type :=
	('X', 'X', '0', '1', 'X', 'X', '0', '1', 'X');
    -- synopsys synthesis_on

    -- synopsys synthesis_off
    type tbl_mvl9_boolean is array (STD_ULOGIC) of boolean;
    constant IS_X : tbl_mvl9_boolean :=
        (true, true, false, false, true, true, false, false, true);
    -- synopsys synthesis_on



    function MAKE_BINARY(A : STD_ULOGIC) return STD_ULOGIC is
	-- synopsys built_in SYN_FEED_THRU
    begin
	-- synopsys synthesis_off
	    if (IS_X(A)) then
		assert no_warning
		report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		severity warning;
	        return ('X');
	    end if;
	    return tbl_BINARY(A);
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : UNSIGNED) return UNSIGNED is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : UNSIGNED (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : UNSIGNED) return SIGNED is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : SIGNED (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : SIGNED) return UNSIGNED is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : UNSIGNED (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : SIGNED) return SIGNED is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : SIGNED (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : STD_LOGIC_VECTOR (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : UNSIGNED) return STD_LOGIC_VECTOR is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : STD_LOGIC_VECTOR (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;

    function MAKE_BINARY(A : SIGNED) return STD_LOGIC_VECTOR is
	-- synopsys built_in SYN_FEED_THRU
	variable one_bit : STD_ULOGIC;
	variable result : STD_LOGIC_VECTOR (A'range);
    begin
	-- synopsys synthesis_off
	    for i in A'range loop
	        if (IS_X(A(i))) then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    result := (others => 'X');
	            return result;
	        end if;
		result(i) := tbl_BINARY(A(i));
	    end loop;
	    return result;
	-- synopsys synthesis_on
    end;



    -- Type propagation function which returns a signed type with the
    -- size of the left arg.
    function LEFT_SIGNED_ARG(A,B: SIGNED) return SIGNED is
      variable Z: SIGNED (A'left downto 0);
      -- pragma return_port_name Z
    begin
      return(Z);
    end;

    -- Type propagation function which returns an unsigned type with the
    -- size of the left arg.
    function LEFT_UNSIGNED_ARG(A,B: UNSIGNED) return UNSIGNED is
      variable Z: UNSIGNED (A'left downto 0);
      -- pragma return_port_name Z
    begin
      return(Z);
    end;

    -- Type propagation function which returns a signed type with the
    -- size of the result of a signed multiplication
    function MULT_SIGNED_ARG(A,B: SIGNED) return SIGNED is
      variable Z: SIGNED ((A'length+B'length-1) downto 0);
      -- pragma return_port_name Z
    begin
      return(Z);
    end;

    -- Type propagation function which returns an unsigned type with the
    -- size of the result of a unsigned multiplication
    function MULT_UNSIGNED_ARG(A,B: UNSIGNED) return UNSIGNED is
      variable Z: UNSIGNED ((A'length+B'length-1) downto 0);
      -- pragma return_port_name Z
    begin
      return(Z);
    end;



    function mult(A,B: SIGNED) return SIGNED is

      variable BA: SIGNED((A'length+B'length-1) downto 0);
      variable PA: SIGNED((A'length+B'length-1) downto 0);
      variable AA: SIGNED(A'length downto 0);
      variable neg: STD_ULOGIC;
      constant one : UNSIGNED(1 downto 0) := "01";

      -- pragma map_to_operator MULT_TC_OP
      -- pragma type_function MULT_SIGNED_ARG
      -- pragma return_port_name Z

      begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            PA := (others => 'X');
            return(PA);
	end if;
        PA := (others => '0');
        neg := B(B'left) xor A(A'left);
        BA := CONV_SIGNED(('0' & ABS(B)),(A'length+B'length));
        AA := '0' & ABS(A);
        for i in 0 to A'length-1 loop
          if AA(i) = '1' then
            PA := PA+BA;
          end if;
          BA := SHL(BA,one);
        end loop;
        if (neg= '1') then
          return(-PA);
        else
          return(PA);
        end if;
      end;

    function mult(A,B: UNSIGNED) return UNSIGNED is

      variable BA: UNSIGNED((A'length+B'length-1) downto 0);
      variable PA: UNSIGNED((A'length+B'length-1) downto 0);
      constant one : UNSIGNED(1 downto 0) := "01";

      -- pragma map_to_operator MULT_UNS_OP
      -- pragma type_function MULT_UNSIGNED_ARG
      -- pragma return_port_name Z

      begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            PA := (others => 'X');
            return(PA);
	end if;
        PA := (others => '0');
        BA := CONV_UNSIGNED(B,(A'length+B'length));
        for i in 0 to A'length-1 loop
          if A(i) = '1' then
            PA := PA+BA;
          end if;
          BA := SHL(BA,one);
        end loop;
        return(PA);
      end;

    -- subtract two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function minus(A, B: SIGNED) return SIGNED is
	variable carry: STD_ULOGIC;
	variable BV: STD_ULOGIC_VECTOR (A'left downto 0);
	variable sum: SIGNED (A'left downto 0);

	-- pragma map_to_operator SUB_TC_OP

	-- pragma type_function LEFT_SIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '1';
	BV := not STD_ULOGIC_VECTOR(B);

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;

    -- add two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function plus(A, B: SIGNED) return SIGNED is
	variable carry: STD_ULOGIC;
	variable BV, sum: SIGNED (A'left downto 0);

	-- pragma map_to_operator ADD_TC_OP
	-- pragma type_function LEFT_SIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '0';
	BV := B;

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;


    -- subtract two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_minus(A, B: UNSIGNED) return UNSIGNED is
	variable carry: STD_ULOGIC;
	variable BV: STD_ULOGIC_VECTOR (A'left downto 0);
	variable sum: UNSIGNED (A'left downto 0);

	-- pragma map_to_operator SUB_UNS_OP
	-- pragma type_function LEFT_UNSIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '1';
	BV := not STD_ULOGIC_VECTOR(B);

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;

    -- add two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_plus(A, B: UNSIGNED) return UNSIGNED is
	variable carry: STD_ULOGIC;
	variable BV, sum: UNSIGNED (A'left downto 0);

	-- pragma map_to_operator ADD_UNS_OP
	-- pragma type_function LEFT_UNSIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '0';
	BV := B;

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;



    function "*"(L: SIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 296
    begin
          return     mult(CONV_SIGNED(L, L'length),
		          CONV_SIGNED(R, R'length)); -- pragma label mult
    end;

    function "*"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 295
    begin
          return   mult(CONV_UNSIGNED(L, L'length),
                        CONV_UNSIGNED(R, R'length)); -- pragma label mult
    end;

    function "*"(L: UNSIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 297
    begin
 	return       mult(CONV_SIGNED(L, L'length+1),
		          CONV_SIGNED(R, R'length)); -- pragma label mult
    end;

    function "*"(L: SIGNED; R: UNSIGNED) return SIGNED is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 298
    begin
	return      mult(CONV_SIGNED(L, L'length),
		         CONV_SIGNED(R, R'length+1)); -- pragma label mult
    end;


    function "*"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 301
    begin
          return STD_LOGIC_VECTOR (
		mult(-- pragma label mult
		CONV_SIGNED(L, L'length), CONV_SIGNED(R, R'length)));
    end;

    function "*"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 300
    begin
          return STD_LOGIC_VECTOR (
		mult(-- pragma label mult
		CONV_UNSIGNED(L, L'length), CONV_UNSIGNED(R, R'length)));
    end;

    function "*"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 302
    begin
 	return STD_LOGIC_VECTOR (
		mult(-- pragma label mult
		CONV_SIGNED(L, L'length+1), CONV_SIGNED(R, R'length)));
    end;

    function "*"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
	-- synopsys subpgm_id 303
    begin
	return STD_LOGIC_VECTOR (
		mult(-- pragma label mult
		CONV_SIGNED(L, L'length), CONV_SIGNED(R, R'length+1)));
    end;


    function "+"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 236
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
			     CONV_UNSIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 237
	constant length: INTEGER := max(L'length, R'length);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 238
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: UNSIGNED) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 239
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: INTEGER) return UNSIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 240
	constant length: INTEGER := L'length + 1;
    begin
	return CONV_UNSIGNED(
		plus( -- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "+"(L: INTEGER; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 241
	constant length: INTEGER := R'length + 1;
    begin
	return CONV_UNSIGNED(
		plus( -- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "+"(L: SIGNED; R: INTEGER) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 242
	constant length: INTEGER := L'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: INTEGER; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 243
	constant length: INTEGER := R'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: STD_ULOGIC) return UNSIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 244
	constant length: INTEGER := L'length;
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
		     CONV_UNSIGNED(R, length)) ; -- pragma label plus
    end;


    function "+"(L: STD_ULOGIC; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 245
	constant length: INTEGER := R'length;
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
		     CONV_UNSIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: STD_ULOGIC) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 246
	constant length: INTEGER := L'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: STD_ULOGIC; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 247
	constant length: INTEGER := R'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;



    function "+"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 260
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (
		unsigned_plus(-- pragma label plus
		CONV_UNSIGNED(L, length), CONV_UNSIGNED(R, length)));
    end;


    function "+"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 261
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 262
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 263
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: UNSIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 264
	constant length: INTEGER := L'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		plus( -- pragma label plus
	        CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "+"(L: INTEGER; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 265
	constant length: INTEGER := R'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		plus( -- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "+"(L: SIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 266
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: INTEGER; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 267
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: UNSIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 268
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (
		unsigned_plus(-- pragma label plus
		CONV_UNSIGNED(L, length), CONV_UNSIGNED(R, length))) ;
    end;


    function "+"(L: STD_ULOGIC; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 269
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (
		unsigned_plus(-- pragma label plus
		CONV_UNSIGNED(L, length), CONV_UNSIGNED(R, length)));
    end;


    function "+"(L: SIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 270
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "+"(L: STD_ULOGIC; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	-- synopsys subpgm_id 271
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (
		plus(-- pragma label plus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;



    function "-"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 248
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_minus(CONV_UNSIGNED(L, length),
		      	      CONV_UNSIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: SIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 249
	constant length: INTEGER := max(L'length, R'length);
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: UNSIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 250
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: SIGNED; R: UNSIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 251
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: UNSIGNED; R: INTEGER) return UNSIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 252
	constant length: INTEGER := L'length + 1;
    begin
	return CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "-"(L: INTEGER; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 253
	constant length: INTEGER := R'length + 1;
    begin
	return CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "-"(L: SIGNED; R: INTEGER) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 254
	constant length: INTEGER := L'length;
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: INTEGER; R: SIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 255
	constant length: INTEGER := R'length;
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: UNSIGNED; R: STD_ULOGIC) return UNSIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 256
	constant length: INTEGER := L'length + 1;
    begin
	return CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "-"(L: STD_ULOGIC; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 257
	constant length: INTEGER := R'length + 1;
    begin
	return CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1);
    end;


    function "-"(L: SIGNED; R: STD_ULOGIC) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 258
	constant length: INTEGER := L'length;
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;


    function "-"(L: STD_ULOGIC; R: SIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 259
	constant length: INTEGER := R'length;
    begin
	return minus(CONV_SIGNED(L, length),
		     CONV_SIGNED(R, length)); -- pragma label minus
    end;




    function "-"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 272
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (
		unsigned_minus(-- pragma label minus
		CONV_UNSIGNED(L, length), CONV_UNSIGNED(R, length)));
    end;


    function "-"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 273
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 274
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 275
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: UNSIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 276
	constant length: INTEGER := L'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "-"(L: INTEGER; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 277
	constant length: INTEGER := R'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "-"(L: SIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 278
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: INTEGER; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 279
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: UNSIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 280
	constant length: INTEGER := L'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "-"(L: STD_ULOGIC; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 281
	constant length: INTEGER := R'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		minus( -- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)), length-1));
    end;


    function "-"(L: SIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 282
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;


    function "-"(L: STD_ULOGIC; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 283
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (
		minus(-- pragma label minus
		CONV_SIGNED(L, length), CONV_SIGNED(R, length)));
    end;




    function "+"(L: UNSIGNED) return UNSIGNED is
	-- synopsys subpgm_id 284
    begin
	return L;
    end;


    function "+"(L: SIGNED) return SIGNED is
	-- synopsys subpgm_id 285
    begin
	return L;
    end;


    function "-"(L: SIGNED) return SIGNED is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 286
    begin
	return 0 - L; -- pragma label minus
    end;


    function "ABS"(L: SIGNED) return SIGNED is
	-- synopsys subpgm_id 287
    begin
	if (L(L'left) = '0' or L(L'left) = 'L') then
	    return L;
	else
	    return 0 - L;
	end if;
    end;


    function "+"(L: UNSIGNED) return STD_LOGIC_VECTOR is
	-- synopsys subpgm_id 289
    begin
	return STD_LOGIC_VECTOR (L);
    end;


    function "+"(L: SIGNED) return STD_LOGIC_VECTOR is
	-- synopsys subpgm_id 290
    begin
	return STD_LOGIC_VECTOR (L);
    end;


    function "-"(L: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to minus
	-- synopsys subpgm_id 292
	variable tmp: SIGNED(L'length-1 downto 0);
    begin
	tmp := 0 - L;  -- pragma label minus
	return STD_LOGIC_VECTOR (tmp);
    end;


    function "ABS"(L: SIGNED) return STD_LOGIC_VECTOR is
	-- synopsys subpgm_id 294
	variable tmp: SIGNED(L'length-1 downto 0);
    begin
	if (L(L'left) = '0' or L(L'left) = 'L') then
	    return STD_LOGIC_VECTOR (L);
	else
	    tmp := 0 - L;
	    return STD_LOGIC_VECTOR (tmp);
	end if;
    end;


    -- Type propagation function which returns the type BOOLEAN
    function UNSIGNED_RETURN_BOOLEAN(A,B: UNSIGNED) return BOOLEAN is
      variable Z: BOOLEAN;
      -- pragma return_port_name Z
    begin
      return(Z);
    end;

    -- Type propagation function which returns the type BOOLEAN
    function SIGNED_RETURN_BOOLEAN(A,B: SIGNED) return BOOLEAN is
      variable Z: BOOLEAN;
      -- pragma return_port_name Z
    begin
      return(Z);
    end;


    -- compare two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function is_less(A, B: SIGNED) return BOOLEAN is
	constant sign: INTEGER := A'left;
	variable a_is_0, b_is_1, result : boolean;

	-- pragma map_to_operator LT_TC_OP
	-- pragma type_function SIGNED_RETURN_BOOLEAN
        -- pragma return_port_name Z

    begin
	if A(sign) /= B(sign) then
	    result := A(sign) = '1';
	else
	    result := FALSE;
	    for i in 0 to sign-1 loop
		a_is_0 := A(i) = '0';
		b_is_1 := B(i) = '1';
		result := (a_is_0 and b_is_1) or
			  (a_is_0 and result) or
			  (b_is_1 and result);
	    end loop;
	end if;
	return result;
    end;


    -- compare two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function is_less_or_equal(A, B: SIGNED) return BOOLEAN is
	constant sign: INTEGER := A'left;
	variable a_is_0, b_is_1, result : boolean;

	-- pragma map_to_operator LEQ_TC_OP
	-- pragma type_function SIGNED_RETURN_BOOLEAN
        -- pragma return_port_name Z

    begin
	if A(sign) /= B(sign) then
	    result := A(sign) = '1';
	else
	    result := TRUE;
	    for i in 0 to sign-1 loop
		a_is_0 := A(i) = '0';
		b_is_1 := B(i) = '1';
		result := (a_is_0 and b_is_1) or
			  (a_is_0 and result) or
			  (b_is_1 and result);
	    end loop;
	end if;
	return result;
    end;



    -- compare two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_is_less(A, B: UNSIGNED) return BOOLEAN is
	constant sign: INTEGER := A'left;
	variable a_is_0, b_is_1, result : boolean;

	-- pragma map_to_operator LT_UNS_OP
	-- pragma type_function UNSIGNED_RETURN_BOOLEAN
        -- pragma return_port_name Z

    begin
	result := FALSE;
	for i in 0 to sign loop
	    a_is_0 := A(i) = '0';
	    b_is_1 := B(i) = '1';
	    result := (a_is_0 and b_is_1) or
		      (a_is_0 and result) or
		      (b_is_1 and result);
	end loop;
	return result;
    end;


    -- compare two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_is_less_or_equal(A, B: UNSIGNED) return BOOLEAN is
	constant sign: INTEGER := A'left;
	variable a_is_0, b_is_1, result : boolean;

	-- pragma map_to_operator LEQ_UNS_OP
	-- pragma type_function UNSIGNED_RETURN_BOOLEAN
        -- pragma return_port_name Z

    begin
	result := TRUE;
	for i in 0 to sign loop
	    a_is_0 := A(i) = '0';
	    b_is_1 := B(i) = '1';
	    result := (a_is_0 and b_is_1) or
		      (a_is_0 and result) or
		      (b_is_1 and result);
	end loop;
	return result;
    end;




    function "<"(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 305
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_is_less(CONV_UNSIGNED(L, length),
				CONV_UNSIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 306
	constant length: INTEGER := max(L'length, R'length);
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 307
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 308
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 309
	constant length: INTEGER := L'length + 1;
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 310
	constant length: INTEGER := R'length + 1;
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 311
	constant length: INTEGER := L'length;
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;


    function "<"(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to lt
	-- synopsys subpgm_id 312
	constant length: INTEGER := R'length;
    begin
	return is_less(CONV_SIGNED(L, length),
			CONV_SIGNED(R, length)); -- pragma label lt
    end;




    function "<="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 314
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_is_less_or_equal(CONV_UNSIGNED(L, length),
			     CONV_UNSIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 315
	constant length: INTEGER := max(L'length, R'length);
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 316
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 317
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 318
	constant length: INTEGER := L'length + 1;
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 319
	constant length: INTEGER := R'length + 1;
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 320
	constant length: INTEGER := L'length;
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;


    function "<="(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to leq
	-- synopsys subpgm_id 321
	constant length: INTEGER := R'length;
    begin
	return is_less_or_equal(CONV_SIGNED(L, length),
				CONV_SIGNED(R, length)); -- pragma label leq
    end;




    function ">"(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 323
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_is_less(CONV_UNSIGNED(R, length),
				CONV_UNSIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 324
	constant length: INTEGER := max(L'length, R'length);
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 325
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 326
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 327
	constant length: INTEGER := L'length + 1;
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 328
	constant length: INTEGER := R'length + 1;
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 329
	constant length: INTEGER := L'length;
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;


    function ">"(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to gt
	-- synopsys subpgm_id 330
	constant length: INTEGER := R'length;
    begin
	return is_less(CONV_SIGNED(R, length),
		       CONV_SIGNED(L, length)); -- pragma label gt
    end;




    function ">="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 332
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_is_less_or_equal(CONV_UNSIGNED(R, length),
			CONV_UNSIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 333
	constant length: INTEGER := max(L'length, R'length);
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
			CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 334
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
			CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 335
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
			CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 336
	constant length: INTEGER := L'length + 1;
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
				CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 337
	constant length: INTEGER := R'length + 1;
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
				CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 338
	constant length: INTEGER := L'length;
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
				CONV_SIGNED(L, length)); -- pragma label geq
    end;


    function ">="(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- pragma label_applies_to geq
	-- synopsys subpgm_id 339
	constant length: INTEGER := R'length;
    begin
	return is_less_or_equal(CONV_SIGNED(R, length),
				CONV_SIGNED(L, length)); -- pragma label geq
    end;




    -- for internal use only.  Assumes SIGNED arguments of equal length.
    function bitwise_eql(L: STD_ULOGIC_VECTOR; R: STD_ULOGIC_VECTOR)
						return BOOLEAN is
	-- pragma built_in SYN_EQL
    begin
	for i in L'range loop
	    if L(i) /= R(i) then
		return FALSE;
	    end if;
	end loop;
	return TRUE;
    end;

    -- for internal use only.  Assumes SIGNED arguments of equal length.
    function bitwise_neq(L: STD_ULOGIC_VECTOR; R: STD_ULOGIC_VECTOR)
						return BOOLEAN is
	-- pragma built_in SYN_NEQ
    begin
	for i in L'range loop
	    if L(i) /= R(i) then
		return TRUE;
	    end if;
	end loop;
	return FALSE;
    end;


    function "="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 341
	constant length: INTEGER := max(L'length, R'length);
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_UNSIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_UNSIGNED(R, length) ) );
    end;


    function "="(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 342
	constant length: INTEGER := max(L'length, R'length);
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 343
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 344
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- synopsys subpgm_id 345
	constant length: INTEGER := L'length + 1;
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 346
	constant length: INTEGER := R'length + 1;
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- synopsys subpgm_id 347
	constant length: INTEGER := L'length;
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "="(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 348
	constant length: INTEGER := R'length;
    begin
	return bitwise_eql( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;




    function "/="(L: UNSIGNED; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 350
	constant length: INTEGER := max(L'length, R'length);
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_UNSIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_UNSIGNED(R, length) ) );
    end;


    function "/="(L: SIGNED; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 351
	constant length: INTEGER := max(L'length, R'length);
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: UNSIGNED; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 352
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: SIGNED; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 353
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: UNSIGNED; R: INTEGER) return BOOLEAN is
	-- synopsys subpgm_id 354
	constant length: INTEGER := L'length + 1;
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: INTEGER; R: UNSIGNED) return BOOLEAN is
	-- synopsys subpgm_id 355
	constant length: INTEGER := R'length + 1;
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: SIGNED; R: INTEGER) return BOOLEAN is
	-- synopsys subpgm_id 356
	constant length: INTEGER := L'length;
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;


    function "/="(L: INTEGER; R: SIGNED) return BOOLEAN is
	-- synopsys subpgm_id 357
	constant length: INTEGER := R'length;
    begin
	return bitwise_neq( STD_ULOGIC_VECTOR( CONV_SIGNED(L, length) ),
		STD_ULOGIC_VECTOR( CONV_SIGNED(R, length) ) );
    end;



    function SHL(ARG: UNSIGNED; COUNT: UNSIGNED) return UNSIGNED is
	-- synopsys subpgm_id 358
	constant control_msb: INTEGER := COUNT'length - 1;
	variable control: UNSIGNED (control_msb downto 0);
	constant result_msb: INTEGER := ARG'length-1;
	subtype rtype is UNSIGNED (result_msb downto 0);
	variable result, temp: rtype;
    begin
	control := MAKE_BINARY(COUNT);
	-- synopsys synthesis_off
	if (control(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	-- synopsys synthesis_on
	result := ARG;
	for i in 0 to control_msb loop
	    if control(i) = '1' then
		temp := rtype'(others => '0');
		if 2**i <= result_msb then
		    temp(result_msb downto 2**i) :=
				    result(result_msb - 2**i downto 0);
		end if;
		result := temp;
	    end if;
	end loop;
	return result;
    end;

    function SHL(ARG: SIGNED; COUNT: UNSIGNED) return SIGNED is
	-- synopsys subpgm_id 359
	constant control_msb: INTEGER := COUNT'length - 1;
	variable control: UNSIGNED (control_msb downto 0);
	constant result_msb: INTEGER := ARG'length-1;
	subtype rtype is SIGNED (result_msb downto 0);
	variable result, temp: rtype;
    begin
	control := MAKE_BINARY(COUNT);
	-- synopsys synthesis_off
	if (control(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	-- synopsys synthesis_on
	result := ARG;
	for i in 0 to control_msb loop
	    if control(i) = '1' then
		temp := rtype'(others => '0');
		if 2**i <= result_msb then
		    temp(result_msb downto 2**i) :=
				    result(result_msb - 2**i downto 0);
		end if;
		result := temp;
	    end if;
	end loop;
	return result;
    end;


    function SHR(ARG: UNSIGNED; COUNT: UNSIGNED) return UNSIGNED is
	-- synopsys subpgm_id 360
	constant control_msb: INTEGER := COUNT'length - 1;
	variable control: UNSIGNED (control_msb downto 0);
	constant result_msb: INTEGER := ARG'length-1;
	subtype rtype is UNSIGNED (result_msb downto 0);
	variable result, temp: rtype;
    begin
	control := MAKE_BINARY(COUNT);
	-- synopsys synthesis_off
	if (control(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	-- synopsys synthesis_on
	result := ARG;
	for i in 0 to control_msb loop
	    if control(i) = '1' then
		temp := rtype'(others => '0');
		if 2**i <= result_msb then
		    temp(result_msb - 2**i downto 0) :=
					result(result_msb downto 2**i);
		end if;
		result := temp;
	    end if;
	end loop;
	return result;
    end;

    function SHR(ARG: SIGNED; COUNT: UNSIGNED) return SIGNED is
	-- synopsys subpgm_id 361
	constant control_msb: INTEGER := COUNT'length - 1;
	variable control: UNSIGNED (control_msb downto 0);
	constant result_msb: INTEGER := ARG'length-1;
	subtype rtype is SIGNED (result_msb downto 0);
	variable result, temp: rtype;
	variable sign_bit: STD_ULOGIC;
    begin
	control := MAKE_BINARY(COUNT);
	-- synopsys synthesis_off
	if (control(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	-- synopsys synthesis_on
	result := ARG;
	sign_bit := ARG(ARG'left);
	for i in 0 to control_msb loop
	    if control(i) = '1' then
		temp := rtype'(others => sign_bit);
		if 2**i <= result_msb then
		    temp(result_msb - 2**i downto 0) :=
					result(result_msb downto 2**i);
		end if;
		result := temp;
	    end if;
	end loop;
	return result;
    end;




    function CONV_INTEGER(ARG: INTEGER) return INTEGER is
	-- synopsys subpgm_id 365
    begin
	return ARG;
    end;

    function CONV_INTEGER(ARG: UNSIGNED) return INTEGER is
	variable result: INTEGER;
	variable tmp: STD_ULOGIC;
	-- synopsys built_in SYN_UNSIGNED_TO_INTEGER
	-- synopsys subpgm_id 366
    begin
	-- synopsys synthesis_off
	assert ARG'length <= 31
	    report "ARG is too large in CONV_INTEGER"
	    severity FAILURE;
	result := 0;
	for i in ARG'range loop
	    result := result * 2;
	    tmp := tbl_BINARY(ARG(i));
	    if tmp = '1' then
		result := result + 1;
	    elsif tmp = 'X' then
		assert no_warning
		report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		severity warning;
		assert no_warning
		report "CONV_INTEGER: There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, and it has been converted to 0."
		severity WARNING;
		return 0;
	    end if;
	end loop;
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_INTEGER(ARG: SIGNED) return INTEGER is
	variable result: INTEGER;
	variable tmp: STD_ULOGIC;
	-- synopsys built_in SYN_SIGNED_TO_INTEGER
	-- synopsys subpgm_id 367
    begin
	-- synopsys synthesis_off
	assert ARG'length <= 32
	    report "ARG is too large in CONV_INTEGER"
	    severity FAILURE;
	result := 0;
	for i in ARG'range loop
	    if i /= ARG'left then
		result := result * 2;
	        tmp := tbl_BINARY(ARG(i));
	        if tmp = '1' then
		    result := result + 1;
	        elsif tmp = 'X' then
		    assert no_warning
		    report "There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, the result will be 'X'(es)."
		    severity warning;
		    assert no_warning
		    report "CONV_INTEGER: There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, and it has been converted to 0."
		    severity WARNING;
		    return 0;
	        end if;
	    end if;
	end loop;
	tmp := MAKE_BINARY(ARG(ARG'left));
	if tmp = '1' then
	    if ARG'length = 32 then
		result := (result - 2**30) - 2**30;
	    else
		result := result - (2 ** (ARG'length-1));
	    end if;
	end if;
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_INTEGER(ARG: STD_ULOGIC) return SMALL_INT is
	variable tmp: STD_ULOGIC;
	-- synopsys built_in SYN_FEED_THRU
	-- synopsys subpgm_id 370
    begin
	-- synopsys synthesis_off
	tmp := tbl_BINARY(ARG);
	if tmp = '1' then
	    return 1;
	elsif tmp = 'X' then
	    assert no_warning
	    report "CONV_INTEGER: There is an 'U'|'X'|'W'|'Z'|'-' in an arithmetic operand, and it has been converted to 0."
	    severity WARNING;
	    return 0;
	else
	    return 0;
	end if;
	-- synopsys synthesis_on
    end;


    -- convert an integer to a unsigned STD_ULOGIC_VECTOR
    function CONV_UNSIGNED(ARG: INTEGER; SIZE: INTEGER) return UNSIGNED is
	variable result: UNSIGNED(SIZE-1 downto 0);
	variable temp: integer;
	-- synopsys built_in SYN_INTEGER_TO_UNSIGNED
	-- synopsys subpgm_id 371
    begin
	-- synopsys synthesis_off
	temp := ARG;
	for i in 0 to SIZE-1 loop
	    if (temp mod 2) = 1 then
		result(i) := '1';
	    else
		result(i) := '0';
	    end if;
	    if temp > 0 then
		temp := temp / 2;
	    else
		temp := (temp - 1) / 2; -- simulate ASR
	    end if;
	end loop;
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_UNSIGNED(ARG: UNSIGNED; SIZE: INTEGER) return UNSIGNED is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is UNSIGNED (SIZE-1 downto 0);
	variable new_bounds: UNSIGNED (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 372
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => '0');
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_UNSIGNED(ARG: SIGNED; SIZE: INTEGER) return UNSIGNED is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is UNSIGNED (SIZE-1 downto 0);
	variable new_bounds: UNSIGNED (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_SIGN_EXTEND
	-- synopsys subpgm_id 373
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => new_bounds(new_bounds'left));
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_UNSIGNED(ARG: STD_ULOGIC; SIZE: INTEGER) return UNSIGNED is
	subtype rtype is UNSIGNED (SIZE-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 375
    begin
	-- synopsys synthesis_off
	result := rtype'(others => '0');
	result(0) := MAKE_BINARY(ARG);
	if (result(0) = 'X') then
	    result := rtype'(others => 'X');
	end if;
	return result;
	-- synopsys synthesis_on
    end;


    -- convert an integer to a 2's complement STD_ULOGIC_VECTOR
    function CONV_SIGNED(ARG: INTEGER; SIZE: INTEGER) return SIGNED is
	variable result: SIGNED (SIZE-1 downto 0);
	variable temp: integer;
	-- synopsys built_in SYN_INTEGER_TO_SIGNED
	-- synopsys subpgm_id 376
    begin
	-- synopsys synthesis_off
	temp := ARG;
	for i in 0 to SIZE-1 loop
	    if (temp mod 2) = 1 then
		result(i) := '1';
	    else
		result(i) := '0';
	    end if;
	    if temp > 0 then
		temp := temp / 2;
	    elsif (temp > integer'low) then
		temp := (temp - 1) / 2; -- simulate ASR
	    else
		temp := temp / 2; -- simulate ASR
	    end if;
	end loop;
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_SIGNED(ARG: UNSIGNED; SIZE: INTEGER) return SIGNED is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is SIGNED (SIZE-1 downto 0);
	variable new_bounds : SIGNED (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 377
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => '0');
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;

    function CONV_SIGNED(ARG: SIGNED; SIZE: INTEGER) return SIGNED is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is SIGNED (SIZE-1 downto 0);
	variable new_bounds : SIGNED (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_SIGN_EXTEND
	-- synopsys subpgm_id 378
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => new_bounds(new_bounds'left));
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_SIGNED(ARG: STD_ULOGIC; SIZE: INTEGER) return SIGNED is
	subtype rtype is SIGNED (SIZE-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 380
    begin
	-- synopsys synthesis_off
	result := rtype'(others => '0');
	result(0) := MAKE_BINARY(ARG);
	if (result(0) = 'X') then
	    result := rtype'(others => 'X');
	end if;
	return result;
	-- synopsys synthesis_on
    end;


    -- convert an integer to an STD_LOGIC_VECTOR
    function CONV_STD_LOGIC_VECTOR(ARG: INTEGER; SIZE: INTEGER) return STD_LOGIC_VECTOR is
	variable result: STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable temp: integer;
	-- synopsys built_in SYN_INTEGER_TO_SIGNED
	-- synopsys subpgm_id 381
    begin
	-- synopsys synthesis_off
	temp := ARG;
	for i in 0 to SIZE-1 loop
	    if (temp mod 2) = 1 then
		result(i) := '1';
	    else
		result(i) := '0';
	    end if;
	    if temp > 0 then
		temp := temp / 2;
	    elsif (temp > integer'low) then
		temp := (temp - 1) / 2; -- simulate ASR
	    else
		temp := temp / 2; -- simulate ASR
	    end if;
	end loop;
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_STD_LOGIC_VECTOR(ARG: UNSIGNED; SIZE: INTEGER) return STD_LOGIC_VECTOR is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable new_bounds : STD_LOGIC_VECTOR (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 382
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => '0');
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;

    function CONV_STD_LOGIC_VECTOR(ARG: SIGNED; SIZE: INTEGER) return STD_LOGIC_VECTOR is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable new_bounds : STD_LOGIC_VECTOR (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_SIGN_EXTEND
	-- synopsys subpgm_id 383
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => new_bounds(new_bounds'left));
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


    function CONV_STD_LOGIC_VECTOR(ARG: STD_ULOGIC; SIZE: INTEGER) return STD_LOGIC_VECTOR is
	subtype rtype is STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 384
    begin
	-- synopsys synthesis_off
	result := rtype'(others => '0');
	result(0) := MAKE_BINARY(ARG);
	if (result(0) = 'X') then
	    result := rtype'(others => 'X');
	end if;
	return result;
	-- synopsys synthesis_on
    end;

    function EXT(ARG: STD_LOGIC_VECTOR; SIZE: INTEGER)
						return STD_LOGIC_VECTOR is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable new_bounds: STD_LOGIC_VECTOR (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_ZERO_EXTEND
	-- synopsys subpgm_id 385
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => '0');
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


    function SXT(ARG: STD_LOGIC_VECTOR; SIZE: INTEGER) return STD_LOGIC_VECTOR is
	constant msb: INTEGER := min(ARG'length, SIZE) - 1;
	subtype rtype is STD_LOGIC_VECTOR (SIZE-1 downto 0);
	variable new_bounds : STD_LOGIC_VECTOR (ARG'length-1 downto 0);
	variable result: rtype;
	-- synopsys built_in SYN_SIGN_EXTEND
	-- synopsys subpgm_id 386
    begin
	-- synopsys synthesis_off
	new_bounds := MAKE_BINARY(ARG);
	if (new_bounds(0) = 'X') then
	    result := rtype'(others => 'X');
	    return result;
	end if;
	result := rtype'(others => new_bounds(new_bounds'left));
	result(msb downto 0) := new_bounds(msb downto 0);
	return result;
	-- synopsys synthesis_on
    end;


end std_logic_arith;
